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authorPrefetch2023-10-21 14:21:59 +0200
committerPrefetch2023-10-21 14:21:59 +0200
commitbd13537ee2fb704b02b961b5d06dd4f406f19a71 (patch)
tree03b525ead00b8b6ae46af8f5f6eee67dab713a27 /source/know/concept/boltzmann-equation
parentfc85814ec669f8158179e8ed16ff45d73e236dac (diff)
Improve knowledge base
Diffstat (limited to 'source/know/concept/boltzmann-equation')
-rw-r--r--source/know/concept/boltzmann-equation/index.md4
1 files changed, 2 insertions, 2 deletions
diff --git a/source/know/concept/boltzmann-equation/index.md b/source/know/concept/boltzmann-equation/index.md
index 9cb3bcd..5f4add0 100644
--- a/source/know/concept/boltzmann-equation/index.md
+++ b/source/know/concept/boltzmann-equation/index.md
@@ -65,7 +65,7 @@ But what about the collision term?
Expressions for it exist, which are almost exact in many cases,
but unfortunately also quite difficult to work with.
In addition, $$f$$ is a 7-dimensional function,
-so the BTE is already hard to solve without collisions.
+so the BTE is already hard to solve without collisions!
We only present the simplest case,
known as the **Bhatnagar-Gross-Krook approximation**:
if the equilibrium state $$f_0(\vb{r}, \vb{v})$$ is known,
@@ -314,7 +314,7 @@ For the sake of clarity, we write out the pressure term, including the outer div
$$\begin{aligned}
\nabla \cdot (\vb{V} \cdot \hat{P})
- &= (\nabla \cdot \hat{P}{}^{\mathrm{T}}) \cdot \vb{V}
+ &= (\nabla \cdot \hat{P}{}^\top) \cdot \vb{V}
= \nabla \cdot
\begin{bmatrix}
P_{xx} & P_{xy} & P_{xz} \\